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Finding the Fourth Proportional to 397,889.64, 596,850.84 and 117,406.92

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Solution

The fourth proportional to 397,889.64, 596,850.84 and 117,406.92 is: 176,115.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,889.64 : 596,850.84 = 117,406.92 : x
  2. Step 2: Convert to fraction form
    397,889.64/596,850.84 = 117,406.92/x
  3. Step 3: Cross multiply
    397,889.64x = 596,850.84 × 117,406.92
  4. Step 4: Simplify right side
    397,889.64x = 70,074,418,823.81
  5. Step 5: Solve for x
    x = 70,074,418,823.81/397,889.64
  6. Step 6: Final answer
    x = 176,115.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.